364 SEMICONDUCTOR DEVICES
Current–
controlled
current
source(fixed)iB > 0iC = βiBiE = iC + iB
= (β + 1)iBvCE > VγvBE = VγVγ−
−++ +E
(a)CBiB > 0iC < βiBvCE = VsatVsatvBE = Vγ(fixed)
Vγ−
−++ ++E
(b)CBiB = 0iC = ICEOvCE ≥ 0vBE < Vγ −−++E
(c)CBFigure 7.3.8Large-signal models ofnpnBJT.(a)Linear circuit model in idealized active state.(b)Idealized
saturated state.(c)Idealized cutoff state.EXAMPLE 7.3.1
Consider the common-emitter BJT circuit shown in Figure E7.3.1(a). The static characteristics of
thenpnsilicon BJT are given in Figure E7.3.1(b) along with the load line. CalculateiBforvS= 1
V and 2 V. Then estimate the corresponding values ofvCEandiCfrom the load line, and compute
the voltage amplificationAv=vCE/vSand the current amplificationAi=iC/iB.SolutioniB=0 forvS<VγandiB=(vS−Vγ)/RBforvS>V. With varying but positive base current,
vBEstays nearly constant at the junction threshold voltageVγ, which is 0.7 V for a silicon BJT
[see Figure 7.3.4(a)].Then,IBQ 1 =vS 1 − 0. 7
RB=1 − 0. 7
20,000= 15 μA,forvS 1 = 0 .7VCorresponding to 15-μA interpolated static curve and load line [see Fig. E7.3.1(b)], we get
vCE 1 = 9 .4 V, andiC 1 = 1 .3 mA;forvS 2 =2V,IBQ 2 =2 − 0. 7
20,000=1. 3
20,000= 65 μA+−C(a)E++
−+− −RB=Ω20 k B RC=Ω2 kVCC=12 ViCiB
vSvCEvBEFigure E7.3.1(a)Circuit.(b)Static
curves and load line.